• 제목/요약/키워드: Linear interpolation

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Efficient Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • Communications for Statistical Applications and Methods
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    • 제9권1호
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    • pp.175-185
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    • 2002
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept of interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

A Study on Estimating Population Mean by Use of Interpolation and Extrapolation with Balanced Systematic Sampling

  • Kim, Hyuk-Joo
    • Journal of the Korean Data and Information Science Society
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    • 제10권1호
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    • pp.91-102
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    • 1999
  • A new method is developed for estimating the mean of a population which has a linear trend. The suggested estimator is based on the balanced systematic sampling method and the concept of interpolation and extrapolation. The efficiency of the proposed method is compared with that of conventional methods.

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Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2001년도 추계학술대회
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    • pp.17-24
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    • 2001
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept or interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

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영상보간법을 이용한 디지털 치근단 방사선영상의 개선에 관한 연구 (A Study on the Improvement of Digital Periapical Images using Image Interpolation Methods)

  • 송남규;고광준
    • 치과방사선
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    • 제28권2호
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    • pp.387-413
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    • 1998
  • Image resampling is of particular interest in digital radiology. When resampling an image to a new set of coordinate, there appears blocking artifacts and image changes. To enhance image quality, interpolation algorithms have been used. Resampling is used to increase the number of points in an image to improve its appearance for display. The process of interpolation is fitting a continuous function to the discrete points in the digital image. The purpose of this study was to determine the effects of the seven interpolation functions when image resampling in digital periapical images. The images were obtained by Digora, CDR and scanning of Ektaspeed plus periapical radiograms on the dry skull and human subject. The subjects were exposed to intraoral X-ray machine at 60kVp and 70 kVp with exposure time varying between 0.01 and 0.50 second. To determine which interpolation method would provide the better image, seven functions were compared; (1) nearest neighbor (2) linear (3) non-linear (4) facet model (5) cubic convolution (6) cubic spline (7) gray segment expansion. And resampled images were compared in terms of SNR(Signal to Noise Ratio) and MTF(Modulation Transfer Function) coefficient value. The obtained results were as follows ; 1. The highest SNR value(75.96dB) was obtained with cubic convolution method and the lowest SNR value(72.44dB) was obtained with facet model method among seven interpolation methods. 2. There were significant differences of SNR values among CDR, Digora and film scan(P<0.05). 3. There were significant differences of SNR values between 60kVp and 70kVp in seven interpolation methods. There were significant differences of SNR values between facet model method and those of the other methods at 60kVp(P<0.05), but there were not significant differences of SNR values among seven interpolation methods at 70kVp(P>0.05). 4. There were significant differences of MTF coefficient values between linear interpolation method and the other six interpolation methods (P< 0.05). 5. The speed of computation time was the fastest with nearest -neighbor method and the slowest with non-linear method. 6. The better image was obtained with cubic convolution, cubic spline and gray segment method in ROC analysis. 7. The better sharpness of edge was obtained with gray segment expansion method among seven interpolation methods.

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3차원 샘플링에 기만을 둔 볼륨랜더링 프로그램의 설계 및 구현 (A Design and Implementation of Volume Rendering Program based on 3D Sampling)

  • 박재영;이병일;최흥국
    • 한국멀티미디어학회논문지
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    • 제5권5호
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    • pp.494-504
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    • 2002
  • 볼륨랜더링은 연속적인 2차원 영상들을 기반으로 하여 3차원 데이터로 만드는 것이다. 오브젝트의 내부영역까지도 가시화 할 수 있는 장점 때문에, 최근 MRI, PET, SPECT같은 의료 영상의 경우 볼릅랜더링을 이용해서 진단에 많이 사용하고 있다. 본 논문에서는 볼륨랜더링을 쉽게 할 수 있도록 2차원 데이터를 바탕으로 볼륨데이터를 만드는 방법을 제시하고, 볼륨랜더링 기법을 이용해 의료 영상에 적용시켜 보았다. 또한 2차원 데이터를 추출하는 샘플링 단계에서 해상도를 향상시키기 위해 linear interpolation과 cubic interpolation을 통해 볼륨랜더링된 영상의 공간 해상도를 조절하도록 설계 및 구현하여 보았으며, 변형함수(transfer function)를 이용하여 각각의 결과를 비교하였다 2차원 영상의 샘플링에 사용되는 interpolation 방법을 3차원 영상에 적용하여 구현하였다. 의료영상의 볼륨랜더링 기법은 3차원 입체 데이터로 구현되는 것이므로 영상 분석을 통한 진단에 크게 기여 할 것으로 기대된다.

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시변 다중경로 페이딩 채널에서 COFDM 시스템의 채널 추정 (A Channel Estimation for COFDM Systems in Time-Varying Multipath Fading Channels)

  • 문재경;박순용;김민택;채종석;하영호
    • 한국통신학회논문지
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    • 제25권5A호
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    • pp.618-633
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    • 2000
  • 본 논문은 COFDM 시스템에 대해 기존의 선형 보간 필터에 비해 보다 정확한 추정을 위해 가우시안 보건 필터와 입방 원형자 보간 필터가 제시되었다. 또한 보간 필터에 의한 채널 추정치의 잡음 성분을 제거하기 위해 IFFT와 FFT를 이용한 저역 통과 필터를 제시하였다. 보간 필터와 저역 통과 필터를 결합한 채널 추정치는 보간 필터만을 사용한 것에 비해 에러 바닥을 낮출 수 있다. 제시된 채널 추정 기법을 시변 다중 경로 페이딩 채널의 COFDM 시스템에 적용시켜 컴퓨터 모의 시험한 결과, 기존의 선형 보간 필터에 비해 성능이 향상됨을 보였으며, 저역 통과 필터를 결합한 경우에는 완벽한 채널 추정과 비교시 BER이 10-4일 때 Eb/No가 0.1∼0.2dB 정도 차이만이 존재한다.

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스플라인 보간법을 적용한 스캔 변환기의 하드웨어 구현 (HARDWARE DESIGN OF A SCAN CONVERTER USING SPLINE INTERPOLATION)

  • 권영민;이범근;정연모
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 추계종합학술대회 논문집(2)
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    • pp.71-74
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    • 2000
  • The purpose of format conversion is to convert a wide range of personal computer video formats into a target format. Circuits for the conversion have been developed by means of interpolation techniques, such as zero-order interpolation, bilinear interpolation, and bisigmoidal interpolation. This paper proposes a scan converter using cubic splines. The converter was modeled in VHDL on Max+PlusII and implemented with an FPGA chip. The circuit gives much better conversion performance than a scan converter with zero-order or linear interpolation.

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스플라인 보간법을 이용한 스캔 변환기 (A Scan Converter Using Spline Interpolation)

  • 이범근;권영민;정연모
    • 한국시뮬레이션학회논문지
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    • 제9권4호
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    • pp.11-23
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    • 2000
  • The purpose of format conversion is to convert a wide range of personal computer video formats into a target format. Circuits for the conversion have been developed by means of interpolation techniques, such as zero-order interpolation, bilinear interpolation, and bisigmoidal interpolation. This paper proposes a scan converter using cubic splines. The converter was modeled in VHDL, simulated on Max+plus Ⅱ , and implemented with an FPGA chip. The circuit gives much better conversion performance than a scan converter with zero-order or linear interpolation techniques according to simulation results and implementation.

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스플라인 보간법을 이용한 스캔 변환기 설계 (DESIGN OF A SCAN CONVERTER SUING SPLINE INTERPOLATION)

  • 이범근
    • 한국시뮬레이션학회:학술대회논문집
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    • 한국시뮬레이션학회 2000년도 춘계학술대회 논문집
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    • pp.91-95
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    • 2000
  • The purpose of format conversion is to convert a wide range of personal computer video formats to a target format. Circuits for the conversion has been developed by means of interpolation techniques, such as zero-order interpolation, bilinear interpolation, and bisigmoidal interpolation. This paper proposes a scan converter using cubic splines. The converter was modeled in VHDL on Max+Plus II and implemented with an FPGA cpip. The circuit gives much better conversion performance than a scan converter with zero-order or linear interpolation.

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Relation between Multidimensional Linear Interpolation and Regularization Networks

  • 엄경식;민병구
    • 한국지능시스템학회논문지
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    • 제7권3호
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    • pp.89-95
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    • 1997
  • This paper examines the relation between multidimensional linear interpolation (MDI) and regularization net-works, and shows that an MDI is a special form of regularization networks. For this purpose we propose a triangular basis function(TBF) network. Also we verified the condition when our proposed TBF becomes a well-known radial basis function (RBF).

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